In this paper

a highly accurate and effective method is proposed to solve the three body coulomb system in the hyperspherical coordinate and the energy of weakly bound ground states of the typical three body coulomb system is calculated.Applying the special feature of the B-spline function like the localization and flexibility a highly accurate hyper radius potential and the channel function is obtained by modifying the knots distribution of the B-spline basis

and it can be transformed into a hyper-radius generalized algebraic eigenvalue problem with discrete variable representation.Therefore we successfully reduce the calculation expense and improve the precision and stabilization for numerical calculation

overcome the defect of ordinary method such as low precision and the giant calculation expense

which is caused by direct solving the hyper-radius coupling differential equation.High accurate results with 8 digits precision is obtained

which is one of most accurate results of the hyperspherical coordinate up to now.